SSC (English Medium) 9th Standard - Maharashtra State Board Question Bank Solutions

If two sides of a triangle are 5 cm and 1.5 cm, the length of its third side cannot be ______.

In ΔPQR, If ∠R > ∠Q then ______.

The perimeter of a triangle is 14.4 cm and the ratio of lengths of its side is 2 : 3 : 4. Construct the triangle.

Perimeter of a parallelogram is 150 cm. One of its sides is greater than the other side by 25 cm. Find the lengths of all sides.

If the ratio of measures of two adjacent angles of a parallelogram is 1 : 2, find the measures of all angles of the parallelogram.

In the given figure, `square`PQRS and `square`ABCR are two parallelograms. If ∠P = 110° then find the measures of all angles of `square`ABCR.

In the given figure, `square`ABCD is a parallelogram. Point E is on the ray AB such that BE = AB then prove that line ED bisects seg BC at point F.

In the given figure, G is the point of concurrence of medians of ΔDEF. Take point H on ray DG such that D-G-H and DG = GH, then prove that `square`GEHF is a parallelogram.

In the given figure, if points P, Q, R, S are on the sides of parallelogram such that AP = BQ = CR = DS then prove that `square`PQRS is a parallelogram.

Ratio of two adjacent sides of a parallelogram is 3 : 4, and its perimeter is 112 cm. Find the length of its each side.

In the adjacent figure, if seg AB || seg PQ, seg AB ≅ seg PQ, seg AC || seg PR, seg AC ≅ seg PR then prove that, seg BC || seg QR and seg BC ≅ seg QR.

In the given Figure, ∠R is the right angle of ΔPQR. Write the following ratios.

1. sin P
2. cos Q
3. tan P
4. tan Q

In the right angled Δ XYZ, ∠XYZ = 90^° and a, b, c are the lengths of the sides as shown in the figure. Write the following ratios,

1. sin X
2. tan Z
3. cos X
4. tan X.

In right angled ΔLMN, ∠LMN = 90°, ∠L = 50° and ∠N = 40°, write the following ratios.

1. sin 50°
2. cos 50°
3. tan 40°
4. cos 40°

In the given figure, ∠PQR = 90°, ∠PQS = 90°, ∠PRQ = α and ∠QPS = θ Write the following trigonometric ratios.

1. sin α, cos α, tan α
2. sin θ, cos θ, tan θ

In the given figure, `angle` PQR = 90^° , `angle` PQS = 90^° , `angle` PRQ = θ and `angle`  QPS = θ   Write the following trigonometric ratios.

(i) sin θ, cos θ, tan θ
(ii) sin θ , cos θ , tan θ 

In the given figure, ∠ACD is an exterior angle of ΔABC. ∠B = 40°, ∠A = 70°. Find the measure of ∠ACD.

In ΔPQR, ∠P = 70°, ∠Q = 65° then find ∠R. 

The measures of angles of a triangle are x°, (x − 20)°, (x − 40)°. Find the measure of each angle.

The measure of one of the angles of a triangle is twice the measure of its smallest angle and the measure of the other is thrice the measure of the smallest angle. Find the measures of the three angles.